You can feel the marijuana flowing out of this one, it's just great.
Hosted by Bill Nye.
Physics topics:
biology topics:
Genetics:
Medicine:
History of science by Ciro Santilli 37 Updated 2025-07-16
If there is one thing that makes Ciro Santilli learn German, this is it (the Romance language are all the same, so reading them is basically covered for Ciro already).
From Scientific Autobiography by Max Planck translated by Frank Gaynor (1949):
A new scientific truth does not triumph by convincing its opponents and making them see the light, but rather because its opponents eventually die, and a new generation grows up that is familiar with it.
Figure 1.
How Math works by SMBC Comics
. Source. An amazing representation of Science makes progress funeral by funeral. Steps:
  • Step 1: Insight
  • Step 2: Resistance
  • Step 3: Debate
  • Step 4: Additional decades of debate
  • Step 5: Changing of the guard
  • Step 6: Transmission to students
Web of Stories by Ciro Santilli 37 Updated 2025-07-16
Full channel title: "Web of Stories - Life Stories of Remarkable People".
1-2 to hour long interviews, the number of Nobel Prize winners is off-the-charts. The videos have transcripts on the description!
TODO what is their affiliation/who is behind it? There is nothing on the website.
Let's check relevancy of known hits:
grep -e '208.254.40' -e '208.254.42' 208 | tee 208hits
Output:
208.254.40.95	1355564700	unreachable
208.254.40.95	1355622300	unreachable
208.254.40.96	1334537100	alive, 36342
208.254.40.96	1335269700	alive, 17586

..

208.254.40.127	1355562900	alive, 35023
208.254.40.127	1355593500	alive, 59866
208.254.40.128	1334609100	unreachable
208.254.40.128	1334708100	alive from 208.254.32.214, 43358
208.254.40.128	1336596300	unreachable
The rest of 208 is mostly unreachable.
208.254.42.191	1335294900	unreachable
...
208.254.42.191	1344737700	unreachable
208.254.42.191	1345574700	Icmp Error: 0,ICMP Network Unreachable, from 63.111.123.26
208.254.42.191	1346166900	unreachable
...
208.254.42.191	1355665500	unreachable
208.254.42.192	1334625300	alive, 6672
...
208.254.42.192	1355658300	alive, 57412
208.254.42.193	1334677500	alive, 28985
208.254.42.193	1336524300	unreachable
208.254.42.193	1344447900	alive, 8934
208.254.42.193	1344613500	alive, 24037
208.254.42.193	1344806100	alive, 20410
208.254.42.193	1345162500	alive, 10177
...
208.254.42.223	1336590900	alive, 23284
...
208.254.42.223	1355555700	alive, 58841
208.254.42.224	1334607300	Icmp Type: 11,ICMP Time Exceeded, from 65.214.56.142
208.254.42.224	1334681100	Icmp Type: 11,ICMP Time Exceeded, from 65.214.56.142
208.254.42.224	1336563900	Icmp Type: 11,ICMP Time Exceeded, from 65.214.56.142
208.254.42.224	1344451500	Icmp Type: 11,ICMP Time Exceeded, from 65.214.56.138
208.254.42.224	1344566700	unreachable
208.254.42.224	1344762900	unreachable
Let's try with 66. First there way too much data, 9 GB, let's cut it down:
n=66
time awk '$3~/^alive,/ { print $1 }' $n | uniq -c | sed -r 's/^ +//;s/ /,/' | tee $n-up-uniq-c
OK down to 45 MB, now we can work.
grep -e '66.45.179' -e '66.104.169' -e '66.104.173' -e '66.104.175' -e '66.175.106' '66-alive-uniq-c' | tee 66hits
Nah, it's full of holes:
4,66.45.179.187
12,66.45.179.188
2,66.45.179.197
1,66.45.179.202
2,66.45.179.205
2,66.45.179.206
1,66.45.179.207
won't be able to find new ranges here.
Mathematics by Ciro Santilli 37 Updated 2025-07-16
The proper precise definition of mathematics can be found at: Section "Formalization of mathematics".
The most beautiful things in mathematics are described at: Section "The beauty of mathematics".
Figure 1.
Study Hilbert spaces desert dilemma meme
. Source. Applies to almost all of mathematics of course. But we don't care, do we!
Ciro Santilli intends to move his beauty list here little by little: github.com/cirosantilli/mathematics/blob/master/beauty.md
The most beautiful things in mathematics are results that are:
Good lists of such problems Lists of mathematical problems.
Whenever Ciro Santilli learns a bit of mathematics, he always wonders to himself:
Am I achieving insight, or am I just memorizing definitions?
Unfortunately, due to how man books are written, it is not really possible to reach insight without first doing a bit of memorization. The better the book, the more insight is spread out, and less you have to learn before reaching each insight.
One of the most beautiful things in mathematics are theorems of conjectures that are very simple to state and understand (e.g. for K-12, lower undergrad levels), but extremely hard to prove.
This is in contrast to conjectures in certain areas where you'd have to study for a few months just to precisely understand all the definitions and the interest of the problem statement.
Momentum operator by Ciro Santilli 37 Updated 2025-07-16
One dimension in position representation:
In three dimensions In position representation, we define it by using the gradient, and so we see that
Video 1.
Position and Momentum from Wavefunctions by Faculty of Khan (2018)
Source. Proves in detail why the momentum operator is . The starting point is determining the time derivative of the expectation value of the position operator.
Exceptional object by Ciro Santilli 37 Updated 2025-07-16
Oh, and the dude who created the en.wikipedia.org/wiki/Exceptional_object Wikipedia page won an Oscar: www.youtube.com/watch?v=oF_FLN-TmCY, Dan Piponi, aka @sigfpe. Cool dude.
Cool examples:

Pinned article: Introduction to the OurBigBook Project

Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
We have two killer features:
  1. topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculus
    Articles of different users are sorted by upvote within each article page. This feature is a bit like:
    • a Wikipedia where each user can have their own version of each article
    • a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
    This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.
    Figure 1.
    Screenshot of the "Derivative" topic page
    . View it live at: ourbigbook.com/go/topic/derivative
  2. local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:
    This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
    Figure 2.
    You can publish local OurBigBook lightweight markup files to either https://OurBigBook.com or as a static website
    .
    Figure 3.
    Visual Studio Code extension installation
    .
    Figure 4.
    Visual Studio Code extension tree navigation
    .
    Figure 5.
    Web editor
    . You can also edit articles on the Web editor without installing anything locally.
    Video 3.
    Edit locally and publish demo
    . Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension.
    Video 4.
    OurBigBook Visual Studio Code extension editing and navigation demo
    . Source.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact